For a particular sample of size n=10,the largest distance (deviation)between a score and the mean is 11 points.The smallest distance between a score and the mean is 4 points.Therefore,the standard deviation will be ____.
A)less than 4
B)between 4 and 11
C)greater than 11
D)equal to 0

Question

For a particular sample of size n=10,the largest distance (deviation)between a score and the mean is 11 points.The smallest distance between a score and the mean is 4 points.Therefore,the standard deviation will be ____.​
A)​less than 4
B)​between 4 and 11
C)​greater than 11
D)​equal to 0

Quizplus · Accepted Answer

Since the largest deviation is 11 and the smallest is 4, we know that the range is 11-4=7. The standard deviation measures the average deviation of the scores from the mean, so it must fall somewhere between the largest deviation of 11 and the smallest deviation of 4. Therefore, the standard deviation must be between 4 and 11.

For a Particular Sample of Size N=10,the Largest Distance (Deviation)between